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Mathematics

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Sacred Heart University

1992

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Splitting Of The Identity Component In Locally Compact Abelian Groups, Peter Loth Jan 1992

Splitting Of The Identity Component In Locally Compact Abelian Groups, Peter Loth

Mathematics Faculty Publications

In this paper we are concerned with the splitting of the identity component G0 in an LCA group G. As Pontrjagin duality shows, this splitting is to the splitting of the torsion part tA in a discrete abelian group A, if G is assumed to be compact.